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Finding the Fourth Proportional to 503.70, 756.03 and 260.40

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Solution

The fourth proportional to 503.70, 756.03 and 260.40 is: 390.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.70 : 756.03 = 260.40 : x
  2. Step 2: Convert to fraction form
    503.70/756.03 = 260.40/x
  3. Step 3: Cross multiply
    503.70x = 756.03 × 260.40
  4. Step 4: Simplify right side
    503.70x = 196,870.21
  5. Step 5: Solve for x
    x = 196,870.21/503.70
  6. Step 6: Final answer
    x = 390.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.